I do not know the name of the plant and I have battled brown scales on my ficus before at my office. What is attacking this plant? Could it be some type of white scale? It is not mealybugs.
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This is a Strelitzia and it has a soft scale. Most likely this is Boisduval scale. It is most likely that the scale came with the plant from the greenhouse. It would have been under control and not visible due to the growers pest control program but after you received it they would have started spreading from their hiding places in the leaf sheaths.
The Strelitzia grows new leaves from a central point and the growth is wrapped in a leaf sheath until it is ready. Unfortunately this makes an excellent place for pests to hide out.
While I was an interior landscaper I was never able to successfully control these pests with soap and water but you could certainly try this method.
If you have no patience for this you could also try buying a systemic insecticide like Cygon 2E, read the instructions, put on impermeable gloves and appropriate safety gear, prepare a two liter solution according to the instructions and pour it into the soil. A solution that is more dilute than recommended should be tried for the first application to see how the plant responds. As most pesticides smell you probably want to do this outside and catch the water that flows through the pot for safe disposal.
Where I live you cannot buy this anymore so you are encouraged to check your local greenhouse/plant stores for local regulations on systemic pesticides.